Isometric embeddings and geometric designs
β Scribed by J.J. Seidel
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 709 KB
- Volume
- 136
- Category
- Article
- ISSN
- 0012-365X
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
## Abstract The voltage graph construction of Gross (orientable case) and Stahl as well as Gross and Tucker (nonorientable case) is extended to the case where the base graph is embedded in a pseudosurface or a generalized pseudosurface. This theory is then applied to produce triangular embeddings o
It is shown that a partial geowetric design with pzameters (r, k, t, c) satisfying certair conditions is equivalent to a two-class partially balanced incomplete block design. This generalizes a result concerning partial geometric designs and balanced incomplete block designs.
A tuple of commuting contractions T=(T 1 , T 2 , ..., T n ) is called a joint-isometry if T\* j T j =I. We give a geometric proof that joint isometries have a regular unitary dilation and that its commutant lifts. We also show that T is subnormal and that its minimal normal extension is also jointly
A new series of balanced block designs with nested rows and columns is constructed using the finite Euclidian geometry. Some such designs along the line of Cheng (1986) are also considered. A result on the system of distinct representatives is seen to be helpful in the derivation.